General Description of Motion
... Rotational Kinetic Energy • What’s the KE for a particle traveling in a circle or radius r at constant speed? KErot = ½ mv2 = ½ m(r)2 = ½ (mr2)2 = ½ I2, where I = mr2 and = constant angular v • I is called the moment of inertia and has units of kg-m2 – it’s a measure of the resistance to chang ...
... Rotational Kinetic Energy • What’s the KE for a particle traveling in a circle or radius r at constant speed? KErot = ½ mv2 = ½ m(r)2 = ½ (mr2)2 = ½ I2, where I = mr2 and = constant angular v • I is called the moment of inertia and has units of kg-m2 – it’s a measure of the resistance to chang ...
pdf file - Wayne State University Physics and Astronomy
... Rolling Objects An object that is rolling combines translational motion (its center of mass moves) and rotational motion (points in the body rotate around the center of mass). For a rolling object: ...
... Rolling Objects An object that is rolling combines translational motion (its center of mass moves) and rotational motion (points in the body rotate around the center of mass). For a rolling object: ...
Power is the rate at which work is done or is the amount energy
... Conservation of momentum The principle of conservation of momentum If no external force acts on a system, the total momentum of the system remains constant, i.e. momentum before the collision is equal to the momentum after the collision. We will only be concerned with cases where momenta are along o ...
... Conservation of momentum The principle of conservation of momentum If no external force acts on a system, the total momentum of the system remains constant, i.e. momentum before the collision is equal to the momentum after the collision. We will only be concerned with cases where momenta are along o ...
PHY203F08 Exam 3 Name
... 1. A bullet with a mass of 20.0 g and a speed of 960 m/s strikes a block of wood of mass 4.50 kg resting on a horizontal surface. The bullet gets embedded in the block. The speed of the block immediately after the collision A) cannot be found because we don't know whether the surface is frictionless ...
... 1. A bullet with a mass of 20.0 g and a speed of 960 m/s strikes a block of wood of mass 4.50 kg resting on a horizontal surface. The bullet gets embedded in the block. The speed of the block immediately after the collision A) cannot be found because we don't know whether the surface is frictionless ...
Rotation
... ►Demo2) ‘Which is the better Tube to Rotate?’ There are two plastic tubes. Tube-A and tube-B. Each tubes have weights inside. However, in tube-A, the weights are positioned at each end of the tube, and tube-B have weights in the middle. The mass (weight) of the tubes are the same, but the mass (weig ...
... ►Demo2) ‘Which is the better Tube to Rotate?’ There are two plastic tubes. Tube-A and tube-B. Each tubes have weights inside. However, in tube-A, the weights are positioned at each end of the tube, and tube-B have weights in the middle. The mass (weight) of the tubes are the same, but the mass (weig ...
1 Dot Product and Cross Products • For two vectors, the dot product
... moving (it has non zero acceleration however). Thus what actually keeps a tire from slipping is the coefficient of static and not kinetic friction. If a an object is rolling without slipping we have vcm ω= R Otherwise ω and vcm are separate quantities to be determined by Fnet = M acm and τ = I dω dt ...
... moving (it has non zero acceleration however). Thus what actually keeps a tire from slipping is the coefficient of static and not kinetic friction. If a an object is rolling without slipping we have vcm ω= R Otherwise ω and vcm are separate quantities to be determined by Fnet = M acm and τ = I dω dt ...
Impulse, Momentum and Conservation of Momentum
... realized that two things dictate what it takes to change the motion of an object. ...
... realized that two things dictate what it takes to change the motion of an object. ...
Chapter Eight
... • A balance scale consisting of a weightless rod has a mass of 0.1 kg on the right side 0.2 m from the pivot point. See Fig. 8-2. (a) How far from the pivot point on the left must 0.4 kg be placed so that a balance is achieved? (b) If the 0.4-kg mass is suddenly removed, what is the instantaneous ro ...
... • A balance scale consisting of a weightless rod has a mass of 0.1 kg on the right side 0.2 m from the pivot point. See Fig. 8-2. (a) How far from the pivot point on the left must 0.4 kg be placed so that a balance is achieved? (b) If the 0.4-kg mass is suddenly removed, what is the instantaneous ro ...
mr10Tsol
... c. KEi = ½ IAA2 + ½ IBB2 = ½ × 0.040 kg.m2 × (50 rad.s-1)2 + ½ × 0.020 kg.m2 × (200 rad.s-1)2 = 450 J. KEf = ½ (IA+ IB)2 = ½ × (0.040 kg.m2 + 0.020 kg.m2) × (100 rad.s-1)2 = 300 J. Kinetic energy has not been conserved, even though the resultant external force and torque are zero, because non con ...
... c. KEi = ½ IAA2 + ½ IBB2 = ½ × 0.040 kg.m2 × (50 rad.s-1)2 + ½ × 0.020 kg.m2 × (200 rad.s-1)2 = 450 J. KEf = ½ (IA+ IB)2 = ½ × (0.040 kg.m2 + 0.020 kg.m2) × (100 rad.s-1)2 = 300 J. Kinetic energy has not been conserved, even though the resultant external force and torque are zero, because non con ...
Example2 - mrdsample
... Work & Rotational Kinetic Energy The torque does work as it moves the wheel through an angle θ: ...
... Work & Rotational Kinetic Energy The torque does work as it moves the wheel through an angle θ: ...
mechanics 4, m4
... Students will be expected to be technically competent in the use of calculus and to be able to apply it to a variety of situations. Students are expected to apply the modelling principles detailed in Mechanics 1 in the context of this ...
... Students will be expected to be technically competent in the use of calculus and to be able to apply it to a variety of situations. Students are expected to apply the modelling principles detailed in Mechanics 1 in the context of this ...
-- Torque -- Kinetic energy potential energy mechanical energy for
... attached to a cord passing through a hole in the surface as in the figure. The puck is revolving at a distance 2.0 m from the hole with an angular velocity of 3.0 rad/s. The cord is then pulled from below shortening the radius to 1.0 ...
... attached to a cord passing through a hole in the surface as in the figure. The puck is revolving at a distance 2.0 m from the hole with an angular velocity of 3.0 rad/s. The cord is then pulled from below shortening the radius to 1.0 ...